A factory worker's union is appealing to the factory management for more vacation time for its employees. The union claims that the workers are more productive when they come back from vacation than before (in other words, that production rate and vacation status are related). The following table contains the production rates, measured in units per hour, for a sample of employees. The union feels that it needs to be 90% confident (level of significance = 0.10) before going into talks with the employers. Does the union have strong enough evidence to support its claim?

100-125 units/hr 126-150 units/hr More than 150 units/hr Total

Before Vacation 210 workers 319 workers 58 workers 587

After Vacation 178 workers 387 workers 60 workers 625

Total 388 706 118 1212

Hypotheses:

Test Statistic and value: P-value:

Conclusion: